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**[Solved]Length formula to find lengths between 2 pts(complex numbers),what's wrong?**

## Homework Statement

I've 3 pts U(2i),A(-√3 -i) & B(√3-i),all complex numbers.A question asks me to prove UAB is equilateral.

## Homework Equations

|AB|=√{(b-a)^2} for finding lengths.

## The Attempt at a Solution

So I try to find two of it's lengths AB and UA.

|AB|=√(b-a)^2

=√{4(3)}

=√12

|UA|=√{a-u}^2

=√(-√3-3i)^2

=√(3-9)

=√-6

The two lengths not same,what's wrong here?

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